<p>I’ve been trying to figure this out, but I don’t know why. I did the experiment and predicted a range of about 150 m. I used the work/kinetic energy theorem and then using the calculated initial velocity in the range equation. The arrow actually went about 50 meters. I used a process similar to the one [url=<a href=“http://www.stkate.edu/physics/phys111/curric/predicting.html]here[/url”>http://www.stkate.edu/physics/phys111/curric/predicting.html]here[/url</a>]. Other than the basics (air resistance, human error), is there a reason that the actual range is so far off? Thanks.</p>
<p>There is a square root missing from the equation for v.</p>
<p>Does your force draw equation start at 0?</p>
<p>Even for a modern compound bow, the energy stored should be much less than the draw length times the peak force. E.g., for a 30 inch draw and a peak draw weight of 35 pounds, I would expect the stored energy to be maybe 35 foot pounds?</p>
<p>The transfer of energy from the bow to the arrow is not perfect. It should be pretty high, though, unless the arrows are very light. Perhaps 85%.</p>